TSTP Solution File: GEO085+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO085+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 05:09:12 EDT 2024
% Result : Theorem 0.58s 0.76s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 4 unt; 0 def)
% Number of atoms : 82 ( 16 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 92 ( 40 ~; 24 |; 16 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 61 ( 44 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f83,plain,
$false,
inference(resolution,[],[f81,f78]) ).
fof(f78,plain,
end_point(sK2(sK0),sK0),
inference(resolution,[],[f53,f59]) ).
fof(f59,plain,
! [X0] :
( ~ open(X0)
| end_point(sK2(X0),X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( end_point(sK2(X0),X0)
| ~ open(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f32,f42]) ).
fof(f42,plain,
! [X0] :
( ? [X1] : end_point(X1,X0)
=> end_point(sK2(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0] :
( ? [X1] : end_point(X1,X0)
| ~ open(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( open(X0)
=> ? [X1] : end_point(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f22]) ).
fof(f22,plain,
! [X0] :
( open(X0)
<=> ? [X1] : end_point(X1,X0) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( open(X0)
<=> ? [X2] : end_point(X2,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.dgsR6peaTk/Vampire---4.8_23922',open_defn) ).
fof(f53,plain,
open(sK0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( ! [X1,X2] :
( ~ end_point(X2,sK0)
| ~ end_point(X1,sK0)
| X1 = X2 )
& open(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f26,f38]) ).
fof(f38,plain,
( ? [X0] :
( ! [X1,X2] :
( ~ end_point(X2,X0)
| ~ end_point(X1,X0)
| X1 = X2 )
& open(X0) )
=> ( ! [X2,X1] :
( ~ end_point(X2,sK0)
| ~ end_point(X1,sK0)
| X1 = X2 )
& open(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0] :
( ! [X1,X2] :
( ~ end_point(X2,X0)
| ~ end_point(X1,X0)
| X1 = X2 )
& open(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X0] :
( open(X0)
=> ? [X1,X2] :
( end_point(X2,X0)
& end_point(X1,X0)
& X1 != X2 ) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X0] :
( open(X0)
=> ? [X2,X4] :
( end_point(X4,X0)
& end_point(X2,X0)
& X2 != X4 ) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X0] :
( open(X0)
=> ? [X2,X4] :
( end_point(X4,X0)
& end_point(X2,X0)
& X2 != X4 ) ),
file('/export/starexec/sandbox2/tmp/tmp.dgsR6peaTk/Vampire---4.8_23922',theorem_2_7_1) ).
fof(f81,plain,
! [X0] : ~ end_point(X0,sK0),
inference(duplicate_literal_removal,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ~ end_point(X0,sK0)
| ~ end_point(X0,sK0)
| ~ end_point(X0,sK0) ),
inference(resolution,[],[f79,f55]) ).
fof(f55,plain,
! [X0,X1] :
( end_point(sK1(X0,X1),X0)
| ~ end_point(X1,X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ( sK1(X0,X1) != X1
& end_point(sK1(X0,X1),X0) )
| ~ end_point(X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f27,f40]) ).
fof(f40,plain,
! [X0,X1] :
( ? [X2] :
( X1 != X2
& end_point(X2,X0) )
=> ( sK1(X0,X1) != X1
& end_point(sK1(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0,X1] :
( ? [X2] :
( X1 != X2
& end_point(X2,X0) )
| ~ end_point(X1,X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( end_point(X1,X0)
=> ? [X2] :
( X1 != X2
& end_point(X2,X0) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X0,X2] :
( end_point(X2,X0)
=> ? [X4] :
( X2 != X4
& end_point(X4,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dgsR6peaTk/Vampire---4.8_23922',c6) ).
fof(f79,plain,
! [X0,X1] :
( ~ end_point(sK1(X0,X1),sK0)
| ~ end_point(X1,sK0)
| ~ end_point(X1,X0) ),
inference(resolution,[],[f73,f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ sQ6_eqProxy(sK1(X0,X1),X1)
| ~ end_point(X1,X0) ),
inference(equality_proxy_replacement,[],[f56,f72]) ).
fof(f72,plain,
! [X0,X1] :
( sQ6_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ6_eqProxy])]) ).
fof(f56,plain,
! [X0,X1] :
( sK1(X0,X1) != X1
| ~ end_point(X1,X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f73,plain,
! [X2,X1] :
( sQ6_eqProxy(X1,X2)
| ~ end_point(X1,sK0)
| ~ end_point(X2,sK0) ),
inference(equality_proxy_replacement,[],[f54,f72]) ).
fof(f54,plain,
! [X2,X1] :
( ~ end_point(X2,sK0)
| ~ end_point(X1,sK0)
| X1 = X2 ),
inference(cnf_transformation,[],[f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO085+1 : TPTP v8.1.2. Released v2.4.0.
% 0.14/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n008.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 22:02:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.dgsR6peaTk/Vampire---4.8_23922
% 0.58/0.76 % (24120)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.76 % (24122)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.58/0.76 % (24115)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.76 % (24118)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.76 % (24122)First to succeed.
% 0.58/0.76 % (24116)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.58/0.76 % (24119)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.76 % (24117)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.76 % (24121)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.58/0.76 % (24120)Also succeeded, but the first one will report.
% 0.58/0.76 % (24122)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24088"
% 0.58/0.76 % (24122)Refutation found. Thanks to Tanya!
% 0.58/0.76 % SZS status Theorem for Vampire---4
% 0.58/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.76 % (24122)------------------------------
% 0.58/0.76 % (24122)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76 % (24122)Termination reason: Refutation
% 0.58/0.76
% 0.58/0.76 % (24122)Memory used [KB]: 1057
% 0.58/0.76 % (24122)Time elapsed: 0.002 s
% 0.58/0.76 % (24122)Instructions burned: 3 (million)
% 0.58/0.76 % (24088)Success in time 0.383 s
% 0.58/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------